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Finding the Third Proportional to 179,778 and 399,460.50

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Solution

The third proportional to 179,778 and 399,460.50 is: 887,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,778 : 399,460.50 = 399,460.50 : x
  2. Step 2: Convert to fraction form
    179,778/399,460.50 = 399,460.50/x
  3. Step 3: Cross multiply
    179,778x = 399,460.50 × 399,460.50
  4. Step 4: Simplify right side
    179,778x = 159,568,691,060.25
  5. Step 5: Solve for x
    x = 159,568,691,060.25/179,778
  6. Step 6: Final answer
    x = 887,587.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.